20.470 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.073 * * * [progress]: [2/2] Setting up program. 0.075 * [progress]: [Phase 2 of 3] Improving. 0.076 * [simplify]: Simplifying using # : (+ (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) 0.077 * * [simplify]: iteration 0 : 12 enodes (cost 19 ) 0.078 * * [simplify]: iteration 1 : 26 enodes (cost 13 ) 0.082 * * [simplify]: iteration 2 : 52 enodes (cost 12 ) 0.088 * * [simplify]: iteration 3 : 75 enodes (cost 12 ) 0.097 * * [simplify]: iteration 4 : 102 enodes (cost 12 ) 0.108 * * [simplify]: iteration 5 : 122 enodes (cost 12 ) 0.124 * * [simplify]: iteration 6 : 139 enodes (cost 12 ) 0.140 * * [simplify]: iteration 7 : 143 enodes (cost 12 ) 0.156 * * [simplify]: iteration 8 : 145 enodes (cost 12 ) 0.173 * * [simplify]: iteration done : 145 enodes (cost 12 ) 0.173 * [simplify]: Simplified to: (* (fma a1 a1 (* a2 a2)) (/ (cos th) (sqrt 2.0))) 0.177 * * [progress]: iteration 1 / 4 0.177 * * * [progress]: picking best candidate 0.179 * * * * [pick]: Picked # 0.179 * * * [progress]: localizing error 0.190 * * * [progress]: generating rewritten candidates 0.191 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 0.195 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 0.199 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.215 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.240 * * * [progress]: generating series expansions 0.240 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 0.241 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.241 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.241 * [taylor]: Taking taylor expansion of (cos th) in th 0.241 * [taylor]: Taking taylor expansion of th in th 0.241 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.241 * [taylor]: Taking taylor expansion of 2.0 in th 0.243 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.243 * [taylor]: Taking taylor expansion of (cos th) in th 0.243 * [taylor]: Taking taylor expansion of th in th 0.243 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.243 * [taylor]: Taking taylor expansion of 2.0 in th 0.262 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.262 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.262 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.263 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.263 * [taylor]: Taking taylor expansion of th in th 0.263 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.263 * [taylor]: Taking taylor expansion of 2.0 in th 0.264 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.264 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.264 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.264 * [taylor]: Taking taylor expansion of th in th 0.264 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.264 * [taylor]: Taking taylor expansion of 2.0 in th 0.281 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.282 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.282 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.282 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.282 * [taylor]: Taking taylor expansion of -1 in th 0.282 * [taylor]: Taking taylor expansion of th in th 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.282 * [taylor]: Taking taylor expansion of 2.0 in th 0.283 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.283 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.283 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.283 * [taylor]: Taking taylor expansion of -1 in th 0.283 * [taylor]: Taking taylor expansion of th in th 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.283 * [taylor]: Taking taylor expansion of 2.0 in th 0.300 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 0.300 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 0.300 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.300 * [taylor]: Taking taylor expansion of (cos th) in th 0.300 * [taylor]: Taking taylor expansion of th in th 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.300 * [taylor]: Taking taylor expansion of 2.0 in th 0.302 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 0.302 * [taylor]: Taking taylor expansion of (cos th) in th 0.302 * [taylor]: Taking taylor expansion of th in th 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.302 * [taylor]: Taking taylor expansion of 2.0 in th 0.327 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 0.327 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.327 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.327 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.327 * [taylor]: Taking taylor expansion of th in th 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.328 * [taylor]: Taking taylor expansion of 2.0 in th 0.329 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 0.329 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.329 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.329 * [taylor]: Taking taylor expansion of th in th 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.329 * [taylor]: Taking taylor expansion of 2.0 in th 0.346 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 0.346 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.346 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.346 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.346 * [taylor]: Taking taylor expansion of -1 in th 0.346 * [taylor]: Taking taylor expansion of th in th 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.346 * [taylor]: Taking taylor expansion of 2.0 in th 0.347 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 0.347 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.347 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.347 * [taylor]: Taking taylor expansion of -1 in th 0.347 * [taylor]: Taking taylor expansion of th in th 0.348 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.348 * [taylor]: Taking taylor expansion of 2.0 in th 0.364 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.365 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 0.365 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 0.365 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 0.365 * [taylor]: Taking taylor expansion of (cos th) in a2 0.365 * [taylor]: Taking taylor expansion of th in a2 0.365 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.365 * [taylor]: Taking taylor expansion of a2 in a2 0.365 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.365 * [taylor]: Taking taylor expansion of 2.0 in a2 0.367 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.367 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.367 * [taylor]: Taking taylor expansion of (cos th) in th 0.367 * [taylor]: Taking taylor expansion of th in th 0.367 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.367 * [taylor]: Taking taylor expansion of a2 in th 0.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.367 * [taylor]: Taking taylor expansion of 2.0 in th 0.368 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 0.368 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 0.368 * [taylor]: Taking taylor expansion of (cos th) in th 0.368 * [taylor]: Taking taylor expansion of th in th 0.368 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.368 * [taylor]: Taking taylor expansion of a2 in th 0.368 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.368 * [taylor]: Taking taylor expansion of 2.0 in th 0.369 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.369 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.369 * [taylor]: Taking taylor expansion of a2 in a2 0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.369 * [taylor]: Taking taylor expansion of 2.0 in a2 0.373 * [taylor]: Taking taylor expansion of 0 in a2 0.377 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 0.377 * [taylor]: Taking taylor expansion of 1/2 in a2 0.377 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 0.377 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.377 * [taylor]: Taking taylor expansion of a2 in a2 0.377 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.377 * [taylor]: Taking taylor expansion of 2.0 in a2 0.389 * [taylor]: Taking taylor expansion of 0 in a2 0.395 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.395 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.396 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.396 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.396 * [taylor]: Taking taylor expansion of th in a2 0.396 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.396 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.396 * [taylor]: Taking taylor expansion of 2.0 in a2 0.396 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.396 * [taylor]: Taking taylor expansion of a2 in a2 0.398 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.398 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.398 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.398 * [taylor]: Taking taylor expansion of th in th 0.398 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.398 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.398 * [taylor]: Taking taylor expansion of 2.0 in th 0.399 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.399 * [taylor]: Taking taylor expansion of a2 in th 0.400 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.400 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.400 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.400 * [taylor]: Taking taylor expansion of th in th 0.400 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.400 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.400 * [taylor]: Taking taylor expansion of 2.0 in th 0.401 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.401 * [taylor]: Taking taylor expansion of a2 in th 0.402 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.402 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 0.402 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 0.402 * [taylor]: Taking taylor expansion of th in a2 0.402 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.402 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.402 * [taylor]: Taking taylor expansion of 2.0 in a2 0.403 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.403 * [taylor]: Taking taylor expansion of a2 in a2 0.412 * [taylor]: Taking taylor expansion of 0 in a2 0.419 * [taylor]: Taking taylor expansion of 0 in a2 0.428 * [taylor]: Taking taylor expansion of 0 in a2 0.439 * [taylor]: Taking taylor expansion of 0 in a2 0.440 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 0.440 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.440 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.440 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.440 * [taylor]: Taking taylor expansion of -1 in a2 0.441 * [taylor]: Taking taylor expansion of th in a2 0.441 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.441 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.441 * [taylor]: Taking taylor expansion of 2.0 in a2 0.441 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.441 * [taylor]: Taking taylor expansion of a2 in a2 0.443 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.443 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.443 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.443 * [taylor]: Taking taylor expansion of -1 in th 0.443 * [taylor]: Taking taylor expansion of th in th 0.443 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.443 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.443 * [taylor]: Taking taylor expansion of 2.0 in th 0.444 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.444 * [taylor]: Taking taylor expansion of a2 in th 0.445 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 0.445 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.445 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.445 * [taylor]: Taking taylor expansion of -1 in th 0.445 * [taylor]: Taking taylor expansion of th in th 0.445 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 0.445 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.445 * [taylor]: Taking taylor expansion of 2.0 in th 0.446 * [taylor]: Taking taylor expansion of (pow a2 2) in th 0.446 * [taylor]: Taking taylor expansion of a2 in th 0.447 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 0.447 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 0.447 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 0.447 * [taylor]: Taking taylor expansion of -1 in a2 0.447 * [taylor]: Taking taylor expansion of th in a2 0.447 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 0.447 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 0.447 * [taylor]: Taking taylor expansion of 2.0 in a2 0.448 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 0.448 * [taylor]: Taking taylor expansion of a2 in a2 0.451 * [taylor]: Taking taylor expansion of 0 in a2 0.457 * [taylor]: Taking taylor expansion of 0 in a2 0.467 * [taylor]: Taking taylor expansion of 0 in a2 0.478 * [taylor]: Taking taylor expansion of 0 in a2 0.478 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.479 * [approximate]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in (th a1) around 0 0.479 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in a1 0.479 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in a1 0.479 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.479 * [taylor]: Taking taylor expansion of a1 in a1 0.479 * [taylor]: Taking taylor expansion of (cos th) in a1 0.479 * [taylor]: Taking taylor expansion of th in a1 0.479 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.479 * [taylor]: Taking taylor expansion of 2.0 in a1 0.480 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.480 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.480 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.480 * [taylor]: Taking taylor expansion of a1 in th 0.481 * [taylor]: Taking taylor expansion of (cos th) in th 0.481 * [taylor]: Taking taylor expansion of th in th 0.481 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.481 * [taylor]: Taking taylor expansion of 2.0 in th 0.482 * [taylor]: Taking taylor expansion of (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) in th 0.482 * [taylor]: Taking taylor expansion of (* (pow a1 2) (cos th)) in th 0.482 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.482 * [taylor]: Taking taylor expansion of a1 in th 0.482 * [taylor]: Taking taylor expansion of (cos th) in th 0.482 * [taylor]: Taking taylor expansion of th in th 0.482 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.482 * [taylor]: Taking taylor expansion of 2.0 in th 0.483 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.483 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.483 * [taylor]: Taking taylor expansion of a1 in a1 0.483 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.483 * [taylor]: Taking taylor expansion of 2.0 in a1 0.487 * [taylor]: Taking taylor expansion of 0 in a1 0.491 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a1 2) (sqrt 2.0)))) in a1 0.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a1 2) (sqrt 2.0))) in a1 0.491 * [taylor]: Taking taylor expansion of 1/2 in a1 0.491 * [taylor]: Taking taylor expansion of (/ (pow a1 2) (sqrt 2.0)) in a1 0.491 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.491 * [taylor]: Taking taylor expansion of a1 in a1 0.491 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.491 * [taylor]: Taking taylor expansion of 2.0 in a1 0.508 * [taylor]: Taking taylor expansion of 0 in a1 0.514 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.514 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.514 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.514 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.514 * [taylor]: Taking taylor expansion of th in a1 0.515 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.515 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.515 * [taylor]: Taking taylor expansion of a1 in a1 0.515 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.515 * [taylor]: Taking taylor expansion of 2.0 in a1 0.517 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.517 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.517 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.517 * [taylor]: Taking taylor expansion of th in th 0.517 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.517 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.517 * [taylor]: Taking taylor expansion of a1 in th 0.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.517 * [taylor]: Taking taylor expansion of 2.0 in th 0.519 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.519 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 0.519 * [taylor]: Taking taylor expansion of (/ 1 th) in th 0.519 * [taylor]: Taking taylor expansion of th in th 0.519 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.519 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.519 * [taylor]: Taking taylor expansion of a1 in th 0.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.519 * [taylor]: Taking taylor expansion of 2.0 in th 0.521 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.521 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a1 0.521 * [taylor]: Taking taylor expansion of (/ 1 th) in a1 0.521 * [taylor]: Taking taylor expansion of th in a1 0.521 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.521 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.521 * [taylor]: Taking taylor expansion of a1 in a1 0.521 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.521 * [taylor]: Taking taylor expansion of 2.0 in a1 0.525 * [taylor]: Taking taylor expansion of 0 in a1 0.531 * [taylor]: Taking taylor expansion of 0 in a1 0.540 * [taylor]: Taking taylor expansion of 0 in a1 0.551 * [taylor]: Taking taylor expansion of 0 in a1 0.552 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in (th a1) around 0 0.552 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.552 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.552 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.552 * [taylor]: Taking taylor expansion of -1 in a1 0.552 * [taylor]: Taking taylor expansion of th in a1 0.552 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.552 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.552 * [taylor]: Taking taylor expansion of a1 in a1 0.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.552 * [taylor]: Taking taylor expansion of 2.0 in a1 0.554 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.554 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.555 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.555 * [taylor]: Taking taylor expansion of -1 in th 0.555 * [taylor]: Taking taylor expansion of th in th 0.555 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.555 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.555 * [taylor]: Taking taylor expansion of a1 in th 0.555 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.555 * [taylor]: Taking taylor expansion of 2.0 in th 0.556 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in th 0.556 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 0.556 * [taylor]: Taking taylor expansion of (/ -1 th) in th 0.556 * [taylor]: Taking taylor expansion of -1 in th 0.556 * [taylor]: Taking taylor expansion of th in th 0.557 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in th 0.557 * [taylor]: Taking taylor expansion of (pow a1 2) in th 0.557 * [taylor]: Taking taylor expansion of a1 in th 0.557 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 0.557 * [taylor]: Taking taylor expansion of 2.0 in th 0.558 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (pow a1 2) (sqrt 2.0))) in a1 0.558 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a1 0.558 * [taylor]: Taking taylor expansion of (/ -1 th) in a1 0.558 * [taylor]: Taking taylor expansion of -1 in a1 0.558 * [taylor]: Taking taylor expansion of th in a1 0.559 * [taylor]: Taking taylor expansion of (* (pow a1 2) (sqrt 2.0)) in a1 0.559 * [taylor]: Taking taylor expansion of (pow a1 2) in a1 0.559 * [taylor]: Taking taylor expansion of a1 in a1 0.559 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a1 0.559 * [taylor]: Taking taylor expansion of 2.0 in a1 0.563 * [taylor]: Taking taylor expansion of 0 in a1 0.569 * [taylor]: Taking taylor expansion of 0 in a1 0.578 * [taylor]: Taking taylor expansion of 0 in a1 0.595 * [taylor]: Taking taylor expansion of 0 in a1 0.596 * * * [progress]: simplifying candidates 0.599 * [simplify]: Simplifying using # : (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a2) (log a2))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a2 a2))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a2) (log a2))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) a2) (* (* a2 a2) a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a2 a2) (* a2 a2)) (* a2 a2))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ 1 (sqrt 2.0)) (* a2 a2)) (* (cos th) (* a2 a2)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (+ (- (log (cos th)) (log (sqrt 2.0))) (+ (log a1) (log a1))) (+ (- (log (cos th)) (log (sqrt 2.0))) (log (* a1 a1))) (+ (log (/ (cos th) (sqrt 2.0))) (+ (log a1) (log a1))) (+ (log (/ (cos th) (sqrt 2.0))) (log (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) a1) (* (* a1 a1) a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (* (* (* a1 a1) (* a1 a1)) (* a1 a1))) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (* (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt 2.0)) a1) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ 1 (sqrt 2.0)) (* a1 a1)) (* (cos th) (* a1 a1)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) (/ (* (pow a1 2) (cos th)) (sqrt 2.0)) 0.605 * * [simplify]: iteration 0 : 187 enodes (cost 2182 ) 0.652 * * [simplify]: iteration 1 : 498 enodes (cost 2076 ) 0.790 * * [simplify]: iteration 2 : 1609 enodes (cost 1894 ) 1.322 * * [simplify]: iteration done : 5000 enodes (cost 1874 ) 1.324 * [simplify]: Simplified to: (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (fabs (cbrt 2.0))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt 2.0))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (fabs (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (fabs (cbrt 2.0))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (cos th) (sqrt (sqrt 2.0))) (cos th) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (/ (pow a2 2) (sqrt 2.0)) (* (cos th) (* a2 a2)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (log (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (exp (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (pow (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a1 a1))) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (sqrt (/ (cos th) (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a1) (* (/ (cos th) (sqrt 2.0)) a1) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (/ (pow a1 2) (sqrt 2.0)) (* (cos th) (* a1 a1)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (- (/ (pow a1 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a1 2)) (sqrt 2.0)))) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) (* (/ (cos th) (sqrt 2.0)) (* a1 a1)) 1.325 * * * [progress]: adding candidates to table 1.811 * * [progress]: iteration 2 / 4 1.811 * * * [progress]: picking best candidate 1.841 * * * * [pick]: Picked # 1.841 * * * [progress]: localizing error 1.856 * * * [progress]: generating rewritten candidates 1.856 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1) 1.860 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 1.879 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 1.884 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.937 * * * [progress]: generating series expansions 1.937 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1) 1.938 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 1.938 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.938 * [taylor]: Taking taylor expansion of (cos th) in th 1.938 * [taylor]: Taking taylor expansion of th in th 1.938 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.938 * [taylor]: Taking taylor expansion of 2.0 in th 1.939 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 1.939 * [taylor]: Taking taylor expansion of (cos th) in th 1.939 * [taylor]: Taking taylor expansion of th in th 1.939 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.940 * [taylor]: Taking taylor expansion of 2.0 in th 1.959 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 1.959 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.959 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.959 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.959 * [taylor]: Taking taylor expansion of th in th 1.960 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.960 * [taylor]: Taking taylor expansion of 2.0 in th 1.961 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 1.961 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 1.961 * [taylor]: Taking taylor expansion of (/ 1 th) in th 1.961 * [taylor]: Taking taylor expansion of th in th 1.961 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.961 * [taylor]: Taking taylor expansion of 2.0 in th 1.985 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 1.985 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.985 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.985 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.985 * [taylor]: Taking taylor expansion of -1 in th 1.985 * [taylor]: Taking taylor expansion of th in th 1.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.986 * [taylor]: Taking taylor expansion of 2.0 in th 1.987 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 1.987 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 1.987 * [taylor]: Taking taylor expansion of (/ -1 th) in th 1.987 * [taylor]: Taking taylor expansion of -1 in th 1.987 * [taylor]: Taking taylor expansion of th in th 1.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 1.987 * [taylor]: Taking taylor expansion of 2.0 in th 2.004 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.005 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 2.005 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.005 * [taylor]: Taking taylor expansion of (cos th) in th 2.005 * [taylor]: Taking taylor expansion of th in th 2.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.005 * [taylor]: Taking taylor expansion of 2.0 in th 2.006 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 2.006 * [taylor]: Taking taylor expansion of (cos th) in th 2.006 * [taylor]: Taking taylor expansion of th in th 2.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.006 * [taylor]: Taking taylor expansion of 2.0 in th 2.026 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 2.027 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.027 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.027 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.027 * [taylor]: Taking taylor expansion of th in th 2.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.027 * [taylor]: Taking taylor expansion of 2.0 in th 2.028 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 2.028 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.028 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.028 * [taylor]: Taking taylor expansion of th in th 2.028 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.028 * [taylor]: Taking taylor expansion of 2.0 in th 2.045 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 2.045 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.046 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.046 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.046 * [taylor]: Taking taylor expansion of -1 in th 2.046 * [taylor]: Taking taylor expansion of th in th 2.046 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.046 * [taylor]: Taking taylor expansion of 2.0 in th 2.047 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 2.047 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.047 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.047 * [taylor]: Taking taylor expansion of -1 in th 2.047 * [taylor]: Taking taylor expansion of th in th 2.047 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.047 * [taylor]: Taking taylor expansion of 2.0 in th 2.069 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 2.070 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 2.070 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 2.070 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.070 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.070 * [taylor]: Taking taylor expansion of 2.0 in th 2.073 * [taylor]: Taking taylor expansion of (cos th) in th 2.073 * [taylor]: Taking taylor expansion of th in th 2.073 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 2.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.074 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.074 * [taylor]: Taking taylor expansion of 2.0 in th 2.077 * [taylor]: Taking taylor expansion of (cos th) in th 2.077 * [taylor]: Taking taylor expansion of th in th 2.104 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 2.104 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 2.105 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.105 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.105 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.105 * [taylor]: Taking taylor expansion of 2.0 in th 2.108 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.108 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.108 * [taylor]: Taking taylor expansion of th in th 2.108 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 2.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.108 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.108 * [taylor]: Taking taylor expansion of 2.0 in th 2.111 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.112 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.112 * [taylor]: Taking taylor expansion of th in th 2.134 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 2.134 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 2.134 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.134 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.134 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.134 * [taylor]: Taking taylor expansion of 2.0 in th 2.137 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.137 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.137 * [taylor]: Taking taylor expansion of -1 in th 2.137 * [taylor]: Taking taylor expansion of th in th 2.138 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 2.138 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 2.138 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 2.138 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.138 * [taylor]: Taking taylor expansion of 2.0 in th 2.147 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.147 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.147 * [taylor]: Taking taylor expansion of -1 in th 2.147 * [taylor]: Taking taylor expansion of th in th 2.168 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 2.169 * [approximate]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in (th a2) around 0 2.169 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in a2 2.169 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in a2 2.169 * [taylor]: Taking taylor expansion of (cos th) in a2 2.169 * [taylor]: Taking taylor expansion of th in a2 2.169 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.169 * [taylor]: Taking taylor expansion of a2 in a2 2.169 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.169 * [taylor]: Taking taylor expansion of 2.0 in a2 2.171 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.171 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.171 * [taylor]: Taking taylor expansion of (cos th) in th 2.171 * [taylor]: Taking taylor expansion of th in th 2.171 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.171 * [taylor]: Taking taylor expansion of a2 in th 2.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.171 * [taylor]: Taking taylor expansion of 2.0 in th 2.172 * [taylor]: Taking taylor expansion of (/ (* (cos th) (pow a2 2)) (sqrt 2.0)) in th 2.172 * [taylor]: Taking taylor expansion of (* (cos th) (pow a2 2)) in th 2.172 * [taylor]: Taking taylor expansion of (cos th) in th 2.172 * [taylor]: Taking taylor expansion of th in th 2.172 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.172 * [taylor]: Taking taylor expansion of a2 in th 2.172 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.172 * [taylor]: Taking taylor expansion of 2.0 in th 2.173 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.173 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.173 * [taylor]: Taking taylor expansion of a2 in a2 2.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.173 * [taylor]: Taking taylor expansion of 2.0 in a2 2.177 * [taylor]: Taking taylor expansion of 0 in a2 2.182 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (pow a2 2) (sqrt 2.0)))) in a2 2.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow a2 2) (sqrt 2.0))) in a2 2.182 * [taylor]: Taking taylor expansion of 1/2 in a2 2.182 * [taylor]: Taking taylor expansion of (/ (pow a2 2) (sqrt 2.0)) in a2 2.182 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.182 * [taylor]: Taking taylor expansion of a2 in a2 2.182 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.182 * [taylor]: Taking taylor expansion of 2.0 in a2 2.193 * [taylor]: Taking taylor expansion of 0 in a2 2.199 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.200 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.200 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.200 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.200 * [taylor]: Taking taylor expansion of th in a2 2.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.200 * [taylor]: Taking taylor expansion of 2.0 in a2 2.200 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.200 * [taylor]: Taking taylor expansion of a2 in a2 2.202 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.202 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.202 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.202 * [taylor]: Taking taylor expansion of th in th 2.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.202 * [taylor]: Taking taylor expansion of 2.0 in th 2.203 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.203 * [taylor]: Taking taylor expansion of a2 in th 2.204 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.204 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 2.204 * [taylor]: Taking taylor expansion of (/ 1 th) in th 2.204 * [taylor]: Taking taylor expansion of th in th 2.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.204 * [taylor]: Taking taylor expansion of 2.0 in th 2.205 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.205 * [taylor]: Taking taylor expansion of a2 in th 2.206 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.206 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 2.206 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 2.206 * [taylor]: Taking taylor expansion of th in a2 2.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.206 * [taylor]: Taking taylor expansion of 2.0 in a2 2.207 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.207 * [taylor]: Taking taylor expansion of a2 in a2 2.210 * [taylor]: Taking taylor expansion of 0 in a2 2.216 * [taylor]: Taking taylor expansion of 0 in a2 2.226 * [taylor]: Taking taylor expansion of 0 in a2 2.243 * [taylor]: Taking taylor expansion of 0 in a2 2.244 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in (th a2) around 0 2.244 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.244 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.244 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.244 * [taylor]: Taking taylor expansion of -1 in a2 2.244 * [taylor]: Taking taylor expansion of th in a2 2.244 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.244 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.245 * [taylor]: Taking taylor expansion of 2.0 in a2 2.245 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.245 * [taylor]: Taking taylor expansion of a2 in a2 2.247 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.247 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.247 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.247 * [taylor]: Taking taylor expansion of -1 in th 2.247 * [taylor]: Taking taylor expansion of th in th 2.247 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.247 * [taylor]: Taking taylor expansion of 2.0 in th 2.248 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.248 * [taylor]: Taking taylor expansion of a2 in th 2.249 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in th 2.249 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 2.249 * [taylor]: Taking taylor expansion of (/ -1 th) in th 2.249 * [taylor]: Taking taylor expansion of -1 in th 2.249 * [taylor]: Taking taylor expansion of th in th 2.249 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in th 2.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 2.249 * [taylor]: Taking taylor expansion of 2.0 in th 2.250 * [taylor]: Taking taylor expansion of (pow a2 2) in th 2.250 * [taylor]: Taking taylor expansion of a2 in th 2.250 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) (pow a2 2))) in a2 2.250 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 2.250 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 2.250 * [taylor]: Taking taylor expansion of -1 in a2 2.251 * [taylor]: Taking taylor expansion of th in a2 2.251 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (pow a2 2)) in a2 2.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 2.251 * [taylor]: Taking taylor expansion of 2.0 in a2 2.251 * [taylor]: Taking taylor expansion of (pow a2 2) in a2 2.251 * [taylor]: Taking taylor expansion of a2 in a2 2.255 * [taylor]: Taking taylor expansion of 0 in a2 2.261 * [taylor]: Taking taylor expansion of 0 in a2 2.270 * [taylor]: Taking taylor expansion of 0 in a2 2.281 * [taylor]: Taking taylor expansion of 0 in a2 2.282 * * * [progress]: simplifying candidates 2.291 * [simplify]: Simplifying using # : (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (expm1 (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) 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(/ 1 (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (sqrt (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (sqrt (sqrt (sqrt 2.0))) (fabs (cbrt (sqrt 2.0))))) (/ (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (sqrt (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0))))) (/ (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt 2.0))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt 2.0)) (/ (/ 1 (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 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(sqrt 2.0)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (/ 1 (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0)))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (/ (/ 1 (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ 1 (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt 2.0) (cos th)) (/ (/ (cos th) (sqrt (sqrt 2.0))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (* (fabs (cbrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (fabs (cbrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th)) (sqrt 2.0) (sqrt 2.0) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt 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(sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (expm1 (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log1p (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (log (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (exp (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2)))) (cbrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (pow (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (sqrt (* (/ (cos th) (sqrt 2.0)) (* a2 a2))) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (cbrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cbrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (sqrt (cos th)) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (cbrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (cbrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt (sqrt 2.0))) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (/ (pow a2 2) (sqrt 2.0)) (* (cos th) (* a2 a2)) (- (fma (/ (pow th 4) (sqrt 2.0)) 1/24 (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma (/ (pow th 4) (sqrt 2.0)) 1/24 (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (sqrt (/ 1 (sqrt 2.0))) (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (/ (pow a2 2) (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) (pow a2 2)) (sqrt 2.0)))) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) (* (/ (cos th) (sqrt 2.0)) (* a2 a2)) 3.362 * * * [progress]: adding candidates to table 4.349 * * [progress]: iteration 3 / 4 4.349 * * * [progress]: picking best candidate 4.375 * * * * [pick]: Picked # 4.375 * * * [progress]: localizing error 4.390 * * * [progress]: generating rewritten candidates 4.390 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 4.394 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 4.413 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 4.418 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 4.467 * * * [progress]: generating series expansions 4.467 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 4.467 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 4.467 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.467 * [taylor]: Taking taylor expansion of (cos th) in th 4.467 * [taylor]: Taking taylor expansion of th in th 4.468 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.468 * [taylor]: Taking taylor expansion of 2.0 in th 4.469 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.469 * [taylor]: Taking taylor expansion of (cos th) in th 4.469 * [taylor]: Taking taylor expansion of th in th 4.469 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.469 * [taylor]: Taking taylor expansion of 2.0 in th 4.487 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 4.487 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.487 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.487 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.487 * [taylor]: Taking taylor expansion of th in th 4.488 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.488 * [taylor]: Taking taylor expansion of 2.0 in th 4.489 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.489 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.489 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.489 * [taylor]: Taking taylor expansion of th in th 4.489 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.489 * [taylor]: Taking taylor expansion of 2.0 in th 4.512 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 4.512 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.512 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.512 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.512 * [taylor]: Taking taylor expansion of -1 in th 4.513 * [taylor]: Taking taylor expansion of th in th 4.513 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.513 * [taylor]: Taking taylor expansion of 2.0 in th 4.514 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.514 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.514 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.514 * [taylor]: Taking taylor expansion of -1 in th 4.514 * [taylor]: Taking taylor expansion of th in th 4.514 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.514 * [taylor]: Taking taylor expansion of 2.0 in th 4.530 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 4.531 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 4.531 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.531 * [taylor]: Taking taylor expansion of (cos th) in th 4.531 * [taylor]: Taking taylor expansion of th in th 4.532 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.532 * [taylor]: Taking taylor expansion of 2.0 in th 4.533 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 4.533 * [taylor]: Taking taylor expansion of (cos th) in th 4.533 * [taylor]: Taking taylor expansion of th in th 4.533 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.533 * [taylor]: Taking taylor expansion of 2.0 in th 4.552 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 4.552 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.552 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.552 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.552 * [taylor]: Taking taylor expansion of th in th 4.552 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.552 * [taylor]: Taking taylor expansion of 2.0 in th 4.553 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 4.553 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.553 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.553 * [taylor]: Taking taylor expansion of th in th 4.554 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.554 * [taylor]: Taking taylor expansion of 2.0 in th 4.571 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 4.571 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.571 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.571 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.571 * [taylor]: Taking taylor expansion of -1 in th 4.571 * [taylor]: Taking taylor expansion of th in th 4.571 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.571 * [taylor]: Taking taylor expansion of 2.0 in th 4.572 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 4.572 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.572 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.572 * [taylor]: Taking taylor expansion of -1 in th 4.572 * [taylor]: Taking taylor expansion of th in th 4.573 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.573 * [taylor]: Taking taylor expansion of 2.0 in th 4.591 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 4.592 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 4.592 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.592 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.592 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.592 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.592 * [taylor]: Taking taylor expansion of 2.0 in th 4.595 * [taylor]: Taking taylor expansion of (cos th) in th 4.595 * [taylor]: Taking taylor expansion of th in th 4.595 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 4.595 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.595 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.595 * [taylor]: Taking taylor expansion of 2.0 in th 4.599 * [taylor]: Taking taylor expansion of (cos th) in th 4.599 * [taylor]: Taking taylor expansion of th in th 4.626 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 4.626 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.626 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.626 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.626 * [taylor]: Taking taylor expansion of 2.0 in th 4.629 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.629 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.629 * [taylor]: Taking taylor expansion of th in th 4.630 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 4.630 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.630 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.630 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.630 * [taylor]: Taking taylor expansion of 2.0 in th 4.633 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.633 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.633 * [taylor]: Taking taylor expansion of th in th 4.654 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 4.654 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.654 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.655 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.655 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.655 * [taylor]: Taking taylor expansion of 2.0 in th 4.658 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.658 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.658 * [taylor]: Taking taylor expansion of -1 in th 4.658 * [taylor]: Taking taylor expansion of th in th 4.661 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 4.661 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 4.661 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 4.661 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.661 * [taylor]: Taking taylor expansion of 2.0 in th 4.664 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.664 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.664 * [taylor]: Taking taylor expansion of -1 in th 4.664 * [taylor]: Taking taylor expansion of th in th 4.685 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 4.685 * [approximate]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in (th a2) around 0 4.686 * [taylor]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in a2 4.686 * [taylor]: Taking taylor expansion of (* (cos th) a2) in a2 4.686 * [taylor]: Taking taylor expansion of (cos th) in a2 4.686 * [taylor]: Taking taylor expansion of th in a2 4.686 * [taylor]: Taking taylor expansion of a2 in a2 4.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.686 * [taylor]: Taking taylor expansion of 2.0 in a2 4.689 * [taylor]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in th 4.689 * [taylor]: Taking taylor expansion of (* (cos th) a2) in th 4.689 * [taylor]: Taking taylor expansion of (cos th) in th 4.689 * [taylor]: Taking taylor expansion of th in th 4.689 * [taylor]: Taking taylor expansion of a2 in th 4.689 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.689 * [taylor]: Taking taylor expansion of 2.0 in th 4.690 * [taylor]: Taking taylor expansion of (/ (* (cos th) a2) (sqrt 2.0)) in th 4.690 * [taylor]: Taking taylor expansion of (* (cos th) a2) in th 4.690 * [taylor]: Taking taylor expansion of (cos th) in th 4.690 * [taylor]: Taking taylor expansion of th in th 4.690 * [taylor]: Taking taylor expansion of a2 in th 4.690 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.690 * [taylor]: Taking taylor expansion of 2.0 in th 4.691 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2 4.691 * [taylor]: Taking taylor expansion of a2 in a2 4.691 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.691 * [taylor]: Taking taylor expansion of 2.0 in a2 4.694 * [taylor]: Taking taylor expansion of 0 in a2 4.698 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ a2 (sqrt 2.0)))) in a2 4.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ a2 (sqrt 2.0))) in a2 4.698 * [taylor]: Taking taylor expansion of 1/2 in a2 4.698 * [taylor]: Taking taylor expansion of (/ a2 (sqrt 2.0)) in a2 4.698 * [taylor]: Taking taylor expansion of a2 in a2 4.698 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.698 * [taylor]: Taking taylor expansion of 2.0 in a2 4.708 * [taylor]: Taking taylor expansion of 0 in a2 4.713 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in (th a2) around 0 4.713 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in a2 4.714 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.714 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.714 * [taylor]: Taking taylor expansion of th in a2 4.714 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 4.714 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.714 * [taylor]: Taking taylor expansion of 2.0 in a2 4.714 * [taylor]: Taking taylor expansion of a2 in a2 4.717 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in th 4.717 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.717 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.717 * [taylor]: Taking taylor expansion of th in th 4.717 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 4.717 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.717 * [taylor]: Taking taylor expansion of 2.0 in th 4.718 * [taylor]: Taking taylor expansion of a2 in th 4.718 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in th 4.718 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 4.718 * [taylor]: Taking taylor expansion of (/ 1 th) in th 4.718 * [taylor]: Taking taylor expansion of th in th 4.719 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 4.719 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.719 * [taylor]: Taking taylor expansion of 2.0 in th 4.719 * [taylor]: Taking taylor expansion of a2 in th 4.720 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (* (sqrt 2.0) a2)) in a2 4.720 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in a2 4.720 * [taylor]: Taking taylor expansion of (/ 1 th) in a2 4.720 * [taylor]: Taking taylor expansion of th in a2 4.720 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 4.720 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.720 * [taylor]: Taking taylor expansion of 2.0 in a2 4.721 * [taylor]: Taking taylor expansion of a2 in a2 4.724 * [taylor]: Taking taylor expansion of 0 in a2 4.731 * [taylor]: Taking taylor expansion of 0 in a2 4.738 * [taylor]: Taking taylor expansion of 0 in a2 4.748 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in (th a2) around 0 4.748 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in a2 4.748 * [taylor]: Taking taylor expansion of -1 in a2 4.748 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in a2 4.748 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.748 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.748 * [taylor]: Taking taylor expansion of -1 in a2 4.748 * [taylor]: Taking taylor expansion of th in a2 4.748 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 4.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.748 * [taylor]: Taking taylor expansion of 2.0 in a2 4.749 * [taylor]: Taking taylor expansion of a2 in a2 4.751 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in th 4.751 * [taylor]: Taking taylor expansion of -1 in th 4.751 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in th 4.751 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.751 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.751 * [taylor]: Taking taylor expansion of -1 in th 4.751 * [taylor]: Taking taylor expansion of th in th 4.752 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 4.752 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.752 * [taylor]: Taking taylor expansion of 2.0 in th 4.752 * [taylor]: Taking taylor expansion of a2 in th 4.753 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in th 4.753 * [taylor]: Taking taylor expansion of -1 in th 4.753 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in th 4.753 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 4.753 * [taylor]: Taking taylor expansion of (/ -1 th) in th 4.753 * [taylor]: Taking taylor expansion of -1 in th 4.753 * [taylor]: Taking taylor expansion of th in th 4.753 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in th 4.753 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 4.753 * [taylor]: Taking taylor expansion of 2.0 in th 4.754 * [taylor]: Taking taylor expansion of a2 in th 4.755 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1 th)) (* (sqrt 2.0) a2))) in a2 4.755 * [taylor]: Taking taylor expansion of -1 in a2 4.755 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (* (sqrt 2.0) a2)) in a2 4.755 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in a2 4.755 * [taylor]: Taking taylor expansion of (/ -1 th) in a2 4.755 * [taylor]: Taking taylor expansion of -1 in a2 4.755 * [taylor]: Taking taylor expansion of th in a2 4.755 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) a2) in a2 4.755 * [taylor]: Taking taylor expansion of (sqrt 2.0) in a2 4.755 * [taylor]: Taking taylor expansion of 2.0 in a2 4.756 * [taylor]: Taking taylor expansion of a2 in a2 4.760 * [taylor]: Taking taylor expansion of 0 in a2 4.768 * [taylor]: Taking taylor expansion of 0 in a2 4.777 * [taylor]: Taking taylor expansion of 0 in a2 4.785 * * * [progress]: simplifying candidates 4.795 * [simplify]: Simplifying using # : (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (- (log (cos th)) (log (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt 2.0) (sqrt 2.0)) (sqrt 2.0))) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (* (* (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0))) (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt 1)) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt 2.0))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) 1) (/ (cbrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt 1)) (/ (sqrt (cos th)) (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) 1) (/ (sqrt (cos th)) (sqrt 2.0)) (/ 1 (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (cbrt (sqrt 2.0))) (/ 1 (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (cbrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt 1)) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 1) (/ (cos th) (sqrt 2.0)) (/ 1 (sqrt 2.0)) (/ (sqrt 2.0) (cos th)) (/ (cos th) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (* (cbrt 2.0) (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt 1)) (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) 1) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt 2.0) (cos th)) (expm1 (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))))) (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (sqrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (/ (cos th) (sqrt (sqrt 2.0)))) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (* (cbrt 2.0) (cbrt 2.0))))) (/ (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (sqrt (sqrt (sqrt 2.0)))) 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(cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt 2.0)) a2) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt 2.0)) a2) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt 2.0)) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt 2.0)) a2) (* (/ (cos th) (cbrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt (cbrt 2.0))) a2) (* (/ (cos th) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (/ (cos th) (sqrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (/ (cos th) (sqrt 2.0)) a2) (* (/ 1 (sqrt 2.0)) a2) (* (cos th) a2) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (/ 1 (sqrt 2.0)) (* 1/24 (/ (pow th 4) (sqrt 2.0)))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (+ (sqrt (/ 1 (sqrt 2.0))) (* 1/24 (* (pow th 4) (sqrt (/ 1 (sqrt 2.0)))))) (* 1/2 (* (pow th 2) (sqrt (/ 1 (sqrt 2.0)))))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (/ a2 (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) a2) (sqrt 2.0)))) (/ (* (cos th) a2) (sqrt 2.0)) (/ (* (cos th) a2) (sqrt 2.0)) 4.824 * * [simplify]: iteration 0 : 479 enodes (cost 9763 ) 5.025 * * [simplify]: iteration 1 : 1062 enodes (cost 8440 ) 5.363 * * [simplify]: iteration 2 : 2398 enodes (cost 7873 ) 5.848 * * [simplify]: iteration done : 5001 enodes (cost 7871 ) 5.853 * [simplify]: Simplified to: (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (cos th)) (- (sqrt 2.0)) (/ (* 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(sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (sqrt (/ (cos th) (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (cbrt (sqrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (cbrt 2.0))))) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt (sqrt 2.0)) (/ (cos th) (sqrt (sqrt (sqrt 2.0))))) (/ (sqrt 2.0) (cos th)) (/ (sqrt 2.0) (cos th)) (sqrt 2.0) (sqrt 2.0) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (expm1 (* (/ (cos th) (sqrt 2.0)) a2)) (log1p (* (/ (cos th) (sqrt 2.0)) a2)) (/ (* (cos th) a2) (sqrt 2.0)) (log (* (/ (cos th) (sqrt 2.0)) a2)) (log (* (/ (cos th) (sqrt 2.0)) a2)) (log (* (/ (cos th) (sqrt 2.0)) a2)) (exp (* (/ (cos th) (sqrt 2.0)) a2)) (pow (/ (* (cos th) a2) (sqrt 2.0)) 3) (pow (/ (* (cos th) a2) (sqrt 2.0)) 3) (* (cbrt (* (/ (cos th) (sqrt 2.0)) a2)) (cbrt (* (/ (cos th) (sqrt 2.0)) a2))) (cbrt (* (/ (cos th) (sqrt 2.0)) a2)) (pow (/ (* (cos th) a2) (sqrt 2.0)) 3) (sqrt (* (/ (cos th) (sqrt 2.0)) a2)) (sqrt (* (/ (cos th) (sqrt 2.0)) a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a2)) (* (sqrt (/ (cos th) (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (sqrt a2)) (* (/ (cos th) (sqrt 2.0)) (* (cbrt a2) (cbrt a2))) (* (/ (cos th) (sqrt 2.0)) (sqrt a2)) (/ (cos th) (sqrt 2.0)) (* (cbrt (/ (cos th) (sqrt 2.0))) a2) (* (sqrt (/ (cos th) (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (cbrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt (cbrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt 2.0)) a2) (* (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (cbrt (cos th)) (sqrt 2.0)) a2) (* (/ (sqrt (cos th)) (cbrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (cbrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt 2.0)) a2) (* (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) a2) (* (/ (sqrt (cos th)) (sqrt 2.0)) a2) (* (/ (cos th) (cbrt (sqrt 2.0))) a2) (* (/ (cos th) (sqrt (cbrt 2.0))) a2) (* (/ (cos th) (sqrt (sqrt 2.0))) a2) (/ (* (cos th) a2) (sqrt 2.0)) (* (/ (cos th) (sqrt (sqrt 2.0))) a2) (/ (* (cos th) a2) (sqrt 2.0)) (/ (* (cos th) a2) (sqrt 2.0)) (/ a2 (sqrt 2.0)) (* (cos th) a2) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (- (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0))) (* 1/2 (/ (pow th 2) (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (+ (* (sqrt (/ 1 (sqrt 2.0))) (- (* 1/24 (pow th 4)) (* 1/2 (pow th 2)))) (sqrt (/ 1 (sqrt 2.0)))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (- (/ a2 (sqrt 2.0)) (* 1/2 (/ (* (pow th 2) a2) (sqrt 2.0)))) (/ (* (cos th) a2) (sqrt 2.0)) (/ (* (cos th) a2) (sqrt 2.0)) 5.857 * * * [progress]: adding candidates to table 6.699 * * [progress]: iteration 4 / 4 6.699 * * * [progress]: picking best candidate 6.725 * * * * [pick]: Picked # 6.725 * * * [progress]: localizing error 6.739 * * * [progress]: generating rewritten candidates 6.739 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 6.757 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 1) 6.784 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 6.858 * * * [progress]: generating series expansions 6.858 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 6.860 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 6.860 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 6.860 * [taylor]: Taking taylor expansion of (cos th) in th 6.860 * [taylor]: Taking taylor expansion of th in th 6.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.860 * [taylor]: Taking taylor expansion of 2.0 in th 6.861 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 6.861 * [taylor]: Taking taylor expansion of (cos th) in th 6.861 * [taylor]: Taking taylor expansion of th in th 6.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.861 * [taylor]: Taking taylor expansion of 2.0 in th 6.881 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 6.881 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 6.881 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 6.881 * [taylor]: Taking taylor expansion of (/ 1 th) in th 6.881 * [taylor]: Taking taylor expansion of th in th 6.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.882 * [taylor]: Taking taylor expansion of 2.0 in th 6.883 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 6.883 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 6.883 * [taylor]: Taking taylor expansion of (/ 1 th) in th 6.883 * [taylor]: Taking taylor expansion of th in th 6.883 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.883 * [taylor]: Taking taylor expansion of 2.0 in th 6.900 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 6.900 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 6.900 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 6.900 * [taylor]: Taking taylor expansion of (/ -1 th) in th 6.900 * [taylor]: Taking taylor expansion of -1 in th 6.900 * [taylor]: Taking taylor expansion of th in th 6.901 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.901 * [taylor]: Taking taylor expansion of 2.0 in th 6.902 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 6.902 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 6.902 * [taylor]: Taking taylor expansion of (/ -1 th) in th 6.902 * [taylor]: Taking taylor expansion of -1 in th 6.902 * [taylor]: Taking taylor expansion of th in th 6.902 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.902 * [taylor]: Taking taylor expansion of 2.0 in th 6.918 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 6.924 * [approximate]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in (th) around 0 6.924 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 6.924 * [taylor]: Taking taylor expansion of (cos th) in th 6.924 * [taylor]: Taking taylor expansion of th in th 6.924 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.924 * [taylor]: Taking taylor expansion of 2.0 in th 6.925 * [taylor]: Taking taylor expansion of (/ (cos th) (sqrt 2.0)) in th 6.925 * [taylor]: Taking taylor expansion of (cos th) in th 6.925 * [taylor]: Taking taylor expansion of th in th 6.925 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.925 * [taylor]: Taking taylor expansion of 2.0 in th 6.944 * [approximate]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in (th) around 0 6.944 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 6.944 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 6.944 * [taylor]: Taking taylor expansion of (/ 1 th) in th 6.945 * [taylor]: Taking taylor expansion of th in th 6.945 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.945 * [taylor]: Taking taylor expansion of 2.0 in th 6.946 * [taylor]: Taking taylor expansion of (/ (cos (/ 1 th)) (sqrt 2.0)) in th 6.946 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 6.946 * [taylor]: Taking taylor expansion of (/ 1 th) in th 6.946 * [taylor]: Taking taylor expansion of th in th 6.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.946 * [taylor]: Taking taylor expansion of 2.0 in th 6.964 * [approximate]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in (th) around 0 6.964 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 6.964 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 6.964 * [taylor]: Taking taylor expansion of (/ -1 th) in th 6.964 * [taylor]: Taking taylor expansion of -1 in th 6.964 * [taylor]: Taking taylor expansion of th in th 6.965 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.965 * [taylor]: Taking taylor expansion of 2.0 in th 6.966 * [taylor]: Taking taylor expansion of (/ (cos (/ -1 th)) (sqrt 2.0)) in th 6.966 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 6.966 * [taylor]: Taking taylor expansion of (/ -1 th) in th 6.966 * [taylor]: Taking taylor expansion of -1 in th 6.966 * [taylor]: Taking taylor expansion of th in th 6.966 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.966 * [taylor]: Taking taylor expansion of 2.0 in th 6.982 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 1) 6.983 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 6.983 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 6.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 6.983 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 6.983 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.983 * [taylor]: Taking taylor expansion of 2.0 in th 6.986 * [taylor]: Taking taylor expansion of (cos th) in th 6.986 * [taylor]: Taking taylor expansion of th in th 6.986 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 6.986 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 6.986 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 6.986 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 6.986 * [taylor]: Taking taylor expansion of 2.0 in th 6.990 * [taylor]: Taking taylor expansion of (cos th) in th 6.990 * [taylor]: Taking taylor expansion of th in th 7.020 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 7.020 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.020 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.020 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.020 * [taylor]: Taking taylor expansion of 2.0 in th 7.024 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.024 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.024 * [taylor]: Taking taylor expansion of th in th 7.024 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.024 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.024 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.024 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.024 * [taylor]: Taking taylor expansion of 2.0 in th 7.027 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.027 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.027 * [taylor]: Taking taylor expansion of th in th 7.049 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 7.049 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.049 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.049 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.049 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.049 * [taylor]: Taking taylor expansion of 2.0 in th 7.053 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.053 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.053 * [taylor]: Taking taylor expansion of -1 in th 7.053 * [taylor]: Taking taylor expansion of th in th 7.053 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.053 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.053 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.053 * [taylor]: Taking taylor expansion of 2.0 in th 7.056 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.056 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.056 * [taylor]: Taking taylor expansion of -1 in th 7.056 * [taylor]: Taking taylor expansion of th in th 7.078 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 7.079 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in (th) around 0 7.079 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 7.079 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.079 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.079 * [taylor]: Taking taylor expansion of 2.0 in th 7.082 * [taylor]: Taking taylor expansion of (cos th) in th 7.082 * [taylor]: Taking taylor expansion of th in th 7.082 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) in th 7.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.082 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.082 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.082 * [taylor]: Taking taylor expansion of 2.0 in th 7.089 * [taylor]: Taking taylor expansion of (cos th) in th 7.089 * [taylor]: Taking taylor expansion of th in th 7.116 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in (th) around 0 7.116 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.116 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.116 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.116 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.116 * [taylor]: Taking taylor expansion of 2.0 in th 7.119 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.119 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.120 * [taylor]: Taking taylor expansion of th in th 7.120 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ 1 th))) in th 7.120 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.120 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.120 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.120 * [taylor]: Taking taylor expansion of 2.0 in th 7.123 * [taylor]: Taking taylor expansion of (cos (/ 1 th)) in th 7.123 * [taylor]: Taking taylor expansion of (/ 1 th) in th 7.123 * [taylor]: Taking taylor expansion of th in th 7.146 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in (th) around 0 7.146 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.146 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.146 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.146 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.146 * [taylor]: Taking taylor expansion of 2.0 in th 7.150 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.150 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.150 * [taylor]: Taking taylor expansion of -1 in th 7.150 * [taylor]: Taking taylor expansion of th in th 7.150 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (sqrt 2.0))) (cos (/ -1 th))) in th 7.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (sqrt 2.0))) in th 7.150 * [taylor]: Taking taylor expansion of (/ 1 (sqrt 2.0)) in th 7.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in th 7.150 * [taylor]: Taking taylor expansion of 2.0 in th 7.154 * [taylor]: Taking taylor expansion of (cos (/ -1 th)) in th 7.154 * [taylor]: Taking taylor expansion of (/ -1 th) in th 7.154 * [taylor]: Taking taylor expansion of -1 in th 7.154 * [taylor]: Taking taylor expansion of th in th 7.179 * * * [progress]: simplifying candidates 7.195 * [simplify]: Simplifying using # : (expm1 (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (log1p (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (- (- (log (cos th)) (log (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (- (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (sqrt (sqrt 2.0)))) (log (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (exp (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (/ (* (* (cos th) (cos th)) (cos th)) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (/ (* (* (/ (cos th) (sqrt (sqrt 2.0))) (/ (cos th) (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt 2.0)))) (* (* (sqrt (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (* (cbrt (/ (/ (cos th) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))) (cbrt (/ (/ (cos th) (sqrt 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2.0))) (cos th)) 7.233 * * [simplify]: iteration 0 : 397 enodes (cost 17670 ) 7.428 * * [simplify]: iteration 1 : 873 enodes (cost 15116 ) 7.632 * * [simplify]: iteration 2 : 1750 enodes (cost 14096 ) 8.780 * * [simplify]: iteration 3 : 4411 enodes (cost 13744 ) 9.564 * * [simplify]: iteration done : 5000 enodes (cost 13744 ) 9.571 * [simplify]: Simplified to: (expm1 (/ (cos th) (sqrt 2.0))) (log1p (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (log (/ (cos th) (sqrt 2.0))) (exp (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (pow (/ (cos th) (sqrt 2.0)) 3) (* (cbrt (/ (cos th) (sqrt 2.0))) (cbrt (/ (cos th) (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt 2.0))) (pow (/ (cos th) (sqrt 2.0)) 3) (sqrt (/ (cos th) (sqrt 2.0))) (sqrt (/ (cos th) (sqrt 2.0))) (- (/ (cos th) (sqrt (sqrt 2.0)))) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ 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2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (expm1 (/ (cos th) (sqrt (sqrt 2.0)))) (log1p (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (log (/ (cos th) (sqrt (sqrt 2.0)))) (exp (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (* (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (cbrt (/ (cos th) (sqrt (sqrt 2.0))))) (cbrt (/ (cos th) (sqrt (sqrt 2.0)))) (pow (/ (cos th) (sqrt (sqrt 2.0))) 3) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (sqrt (/ (cos th) (sqrt (sqrt 2.0)))) (- (cos th)) (- (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cbrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (fabs (cbrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (fabs (cbrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (* (cbrt (cos th)) (cbrt (cos th))) (sqrt (sqrt (sqrt 2.0)))) (/ (cbrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (* (cbrt (cos th)) (cbrt (cos th))) (/ (cbrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (sqrt (cos th)) (cbrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (fabs (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (cbrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (fabs (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (cbrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (/ (sqrt (cos th)) (sqrt (sqrt (sqrt 2.0)))) (sqrt (cos th)) (/ (sqrt (cos th)) (sqrt (sqrt 2.0))) (/ 1 (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (cbrt (sqrt (sqrt 2.0)))) (/ 1 (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (cbrt (sqrt 2.0)))) (/ 1 (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (cbrt 2.0)))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt (sqrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) 1 (/ (cos th) (sqrt (sqrt 2.0))) (/ 1 (sqrt (sqrt 2.0))) (/ (sqrt (sqrt 2.0)) (cos th)) (/ (cos th) (* (cbrt (sqrt (sqrt 2.0))) (cbrt (sqrt (sqrt 2.0))))) (/ (cos th) (fabs (cbrt (sqrt 2.0)))) (/ (cos th) (sqrt (fabs (cbrt 2.0)))) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (cos th) (sqrt (sqrt (sqrt 2.0)))) (cos th) (/ (sqrt (sqrt 2.0)) (cbrt (cos th))) (/ (sqrt (sqrt 2.0)) (sqrt (cos th))) (/ (sqrt (sqrt 2.0)) (cos th)) (fma -1/2 (/ (pow th 2) (sqrt 2.0)) (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (fma -1/2 (/ (pow th 2) (sqrt 2.0)) (fma 1/24 (/ (pow th 4) (sqrt 2.0)) (/ 1 (sqrt 2.0)))) (/ (cos th) (sqrt 2.0)) (/ (cos th) (sqrt 2.0)) (* (sqrt (/ 1 (sqrt 2.0))) (+ (* (* th th) -1/2) (fma (pow th 4) 1/24 1))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (+ (* (* th th) -1/2) (fma (pow th 4) 1/24 1))) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) (* (sqrt (/ 1 (sqrt 2.0))) (cos th)) 9.586 * * * [progress]: adding candidates to table 10.876 * [progress]: [Phase 3 of 3] Extracting. 10.876 * * [regime]: Finding splitpoints for: (# # # # # # # #) 10.879 * * * [regime-changes]: Trying 7 branch expressions: ((* a2 a2) (* a1 a1) (cos th) (/ (cos th) (sqrt 2.0)) th a2 a1) 10.879 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # # # # #) 10.918 * * * * [regimes]: Trying to branch on (* a2 a2) from (# # # # #) 10.941 * * * * [regimes]: Trying to branch on (* a1 a1) from (# # # # # # # #) 10.978 * * * * [regimes]: Trying to branch on (cos th) from (# # # # # # # #) 11.018 * * * * [regimes]: Trying to branch on (/ (cos th) (sqrt 2.0)) from (# # # # # # # #) 11.060 * * * * [regimes]: Trying to branch on th from (# # # # # # # #) 11.100 * * * * [regimes]: Trying to branch on a2 from (# # # # # # # #) 11.139 * * * * [regimes]: Trying to branch on a1 from (# # # # # # # #) 11.176 * * * [regime]: Found split indices: #